{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "892ec73c-434d-4fc4-bf86-559861a4954f",
   "metadata": {},
   "source": [
    "# Stereology Analysis Template\n",
    "\n",
    "> **INFO**  \n",
    "> This is the template for using the stereology module. The specific documentation can be found at the following link:  \n",
    "> https://github.com/marcoalopez/GrainSizeTools/wiki/3.-Using-the-stereology-module \n",
    ">\n",
    "> The template shows typical examples of using the stereology module with grain size populations and different strategies for presenting them. Modify, delete and add as necessary to create your own analysis procedure.\n",
    ">\n",
    "> If you find any error in this template, please report them at https://github.com/marcoalopez/GrainSizeTools/issues  \n",
    "> If you have any questions or suggestions open a discussion at https://github.com/marcoalopez/GrainSizeTools/discussions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d8a4ad2c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c472f09e-1aa7-4578-b5e9-3c9a242febfe",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "======================================================================================\n",
      "Welcome to GrainSizeTools script\n",
      "======================================================================================\n",
      "A free open-source cross-platform script to visualize and characterize grain size\n",
      "population and estimate differential stress via paleopizometers.\n",
      "\n",
      "Version: 3.2.0\n",
      "Documentation: https://github.com/marcoalopez/GrainSizeTools/wiki\n",
      "\n",
      "Type function_list() to get a list of the main methods\n",
      "\n",
      "To access the piezometry module and the piezometer database, enter the following\n",
      "command: %run piezometers.py\n",
      "\n",
      "module plot imported\n",
      "module averages imported\n",
      "module stereology imported\n",
      "module template imported\n"
     ]
    }
   ],
   "source": [
    "# Load the script. It is assumed that the notebook is in the same folder\n",
    "# as the GrainSizeTools.py file, if not specify the full path to the file.\n",
    "# e.g. %run filepath...\\GrainSizeTools_script.py\n",
    "%run GrainSizeTools_script.py"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "85ec740e",
   "metadata": {},
   "source": [
    "## Data reading"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "adfda61b",
   "metadata": {},
   "outputs": [],
   "source": [
    "# specify the file(s) to be analysed here\n",
    "dataset = pd.read_csv('DATA\\data_set.txt', sep='\\t')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4e8775ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Area</th>\n",
       "      <th>Circ</th>\n",
       "      <th>Feret</th>\n",
       "      <th>FeretX</th>\n",
       "      <th>FeretY</th>\n",
       "      <th>FeretAngle</th>\n",
       "      <th>MinFeret</th>\n",
       "      <th>AR</th>\n",
       "      <th>Round</th>\n",
       "      <th>Solidity</th>\n",
       "      <th>diameters</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>157.25</td>\n",
       "      <td>0.680</td>\n",
       "      <td>18.062</td>\n",
       "      <td>1535.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>131.634</td>\n",
       "      <td>13.500</td>\n",
       "      <td>1.101</td>\n",
       "      <td>0.908</td>\n",
       "      <td>0.937</td>\n",
       "      <td>14.149803</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2059.75</td>\n",
       "      <td>0.771</td>\n",
       "      <td>62.097</td>\n",
       "      <td>753.5</td>\n",
       "      <td>16.5</td>\n",
       "      <td>165.069</td>\n",
       "      <td>46.697</td>\n",
       "      <td>1.314</td>\n",
       "      <td>0.761</td>\n",
       "      <td>0.972</td>\n",
       "      <td>51.210889</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1961.50</td>\n",
       "      <td>0.842</td>\n",
       "      <td>57.871</td>\n",
       "      <td>727.0</td>\n",
       "      <td>65.0</td>\n",
       "      <td>71.878</td>\n",
       "      <td>46.923</td>\n",
       "      <td>1.139</td>\n",
       "      <td>0.878</td>\n",
       "      <td>0.972</td>\n",
       "      <td>49.974587</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>5428.50</td>\n",
       "      <td>0.709</td>\n",
       "      <td>114.657</td>\n",
       "      <td>1494.5</td>\n",
       "      <td>83.5</td>\n",
       "      <td>19.620</td>\n",
       "      <td>63.449</td>\n",
       "      <td>1.896</td>\n",
       "      <td>0.528</td>\n",
       "      <td>0.947</td>\n",
       "      <td>83.137121</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>374.00</td>\n",
       "      <td>0.699</td>\n",
       "      <td>29.262</td>\n",
       "      <td>2328.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>33.147</td>\n",
       "      <td>16.000</td>\n",
       "      <td>1.515</td>\n",
       "      <td>0.660</td>\n",
       "      <td>0.970</td>\n",
       "      <td>21.821815</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2656</th>\n",
       "      <td>452.50</td>\n",
       "      <td>0.789</td>\n",
       "      <td>28.504</td>\n",
       "      <td>1368.0</td>\n",
       "      <td>1565.5</td>\n",
       "      <td>127.875</td>\n",
       "      <td>22.500</td>\n",
       "      <td>1.235</td>\n",
       "      <td>0.810</td>\n",
       "      <td>0.960</td>\n",
       "      <td>24.002935</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2657</th>\n",
       "      <td>1081.25</td>\n",
       "      <td>0.756</td>\n",
       "      <td>47.909</td>\n",
       "      <td>1349.5</td>\n",
       "      <td>1569.5</td>\n",
       "      <td>108.246</td>\n",
       "      <td>31.363</td>\n",
       "      <td>1.446</td>\n",
       "      <td>0.692</td>\n",
       "      <td>0.960</td>\n",
       "      <td>37.103777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2658</th>\n",
       "      <td>513.50</td>\n",
       "      <td>0.720</td>\n",
       "      <td>32.962</td>\n",
       "      <td>1373.0</td>\n",
       "      <td>1586.0</td>\n",
       "      <td>112.286</td>\n",
       "      <td>20.496</td>\n",
       "      <td>1.493</td>\n",
       "      <td>0.670</td>\n",
       "      <td>0.953</td>\n",
       "      <td>25.569679</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2659</th>\n",
       "      <td>277.75</td>\n",
       "      <td>0.627</td>\n",
       "      <td>29.436</td>\n",
       "      <td>1316.0</td>\n",
       "      <td>1601.5</td>\n",
       "      <td>159.102</td>\n",
       "      <td>17.002</td>\n",
       "      <td>1.727</td>\n",
       "      <td>0.579</td>\n",
       "      <td>0.920</td>\n",
       "      <td>18.805379</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2660</th>\n",
       "      <td>725.00</td>\n",
       "      <td>0.748</td>\n",
       "      <td>39.437</td>\n",
       "      <td>1335.5</td>\n",
       "      <td>1615.5</td>\n",
       "      <td>129.341</td>\n",
       "      <td>28.025</td>\n",
       "      <td>1.351</td>\n",
       "      <td>0.740</td>\n",
       "      <td>0.960</td>\n",
       "      <td>30.382539</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2661 rows × 11 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         Area   Circ    Feret  FeretX  FeretY  FeretAngle  MinFeret     AR  \\\n",
       "0      157.25  0.680   18.062  1535.0     0.5     131.634    13.500  1.101   \n",
       "1     2059.75  0.771   62.097   753.5    16.5     165.069    46.697  1.314   \n",
       "2     1961.50  0.842   57.871   727.0    65.0      71.878    46.923  1.139   \n",
       "3     5428.50  0.709  114.657  1494.5    83.5      19.620    63.449  1.896   \n",
       "4      374.00  0.699   29.262  2328.0    34.0      33.147    16.000  1.515   \n",
       "...       ...    ...      ...     ...     ...         ...       ...    ...   \n",
       "2656   452.50  0.789   28.504  1368.0  1565.5     127.875    22.500  1.235   \n",
       "2657  1081.25  0.756   47.909  1349.5  1569.5     108.246    31.363  1.446   \n",
       "2658   513.50  0.720   32.962  1373.0  1586.0     112.286    20.496  1.493   \n",
       "2659   277.75  0.627   29.436  1316.0  1601.5     159.102    17.002  1.727   \n",
       "2660   725.00  0.748   39.437  1335.5  1615.5     129.341    28.025  1.351   \n",
       "\n",
       "      Round  Solidity  diameters  \n",
       "0     0.908     0.937  14.149803  \n",
       "1     0.761     0.972  51.210889  \n",
       "2     0.878     0.972  49.974587  \n",
       "3     0.528     0.947  83.137121  \n",
       "4     0.660     0.970  21.821815  \n",
       "...     ...       ...        ...  \n",
       "2656  0.810     0.960  24.002935  \n",
       "2657  0.692     0.960  37.103777  \n",
       "2658  0.670     0.953  25.569679  \n",
       "2659  0.579     0.920  18.805379  \n",
       "2660  0.740     0.960  30.382539  \n",
       "\n",
       "[2661 rows x 11 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# estimate Equivalent Circular Diameters based on areas (if neccesary)\n",
    "dataset['diameters'] = 2 * np.sqrt(dataset['Area'] / np.pi)\n",
    "\n",
    "# display a view of the dataset \n",
    "dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c847e718-36c1-46f0-bf6b-7881dcb6b86e",
   "metadata": {},
   "source": [
    "# Saltykov method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5a20f652-d5db-42dc-b3a6-6fcc40e7899d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "=================================================\n",
      "volume fraction (up to 50 microns) = 41.65 %\n",
      "=================================================\n",
      "calculated bin size = 14.24\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig1, (ax1, ax2) = stereology.Saltykov(dataset['diameters'], numbins=11, calc_vol=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "976a5be1",
   "metadata": {},
   "outputs": [],
   "source": [
    "# uncomment the line below to save the figure\n",
    "#fig1.savefig('saltykov_plot.png', dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "968a1cc3",
   "metadata": {},
   "outputs": [],
   "source": [
    "# get histogram data (using return_data=True)\n",
    "mid_points, frequencies = stereology.Saltykov(dataset['diameters'], numbins=11, return_data=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "7efdc01e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frequencies: [0.0013 0.0217 0.0226 0.0146 0.0061 0.0022 0.0013 0.0004 0.     0.\n",
      " 0.    ]\n",
      "bin midpoints: [  7.1  21.4  35.6  49.8  64.1  78.3  92.5 106.8 121.  135.2 149.5]\n"
     ]
    }
   ],
   "source": [
    "# print the values of the calculated histogram\n",
    "print(f\"frequencies: {np.around(frequencies, 4)}\")\n",
    "print(f\"bin midpoints: {np.around(mid_points, 1)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "fc7d7393",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "=======================================\n",
      "The file saltykov.tsv was created\n",
      "=======================================\n",
      "calculated bin size = 10.44\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# save a tabular file with the saltykov data using text_file, here we use a tab-separated values (TSV) \n",
    "_ = stereology.Saltykov(dataset['diameters'], numbins=15, text_file='saltykov.tsv')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "458148cc-b7c4-431b-8006-27a11d0a544a",
   "metadata": {},
   "source": [
    "## The two-step method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "4b954b3f-e440-4c2a-a61a-f66828f75ae4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "=======================================\n",
      "PREDICTED OPTIMAL VALUES\n",
      "Number of classes: 11\n",
      "MSD (lognormal shape) = 1.63 ± 0.06\n",
      "Geometric mean (scale) = 36.05 ± 1.27\n",
      "=======================================\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig2, axe = stereology.two_step(dataset['diameters'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a8bbb9ee",
   "metadata": {},
   "outputs": [],
   "source": [
    "# uncomment the line below to save the figure\n",
    "#fig2.savefig('two_step_plot.png', dpi=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "473f283f",
   "metadata": {},
   "source": [
    "## Estimation of volume fractions from a calculated lognormal distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "effea92e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Volume fraction occupied by grains between 0 and 50 microns: 22.7 %\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.22693747883065515"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# lognormal parameters\n",
    "geomean = 36.05\n",
    "std = np.log(1.63)  # log(MSD)\n",
    "\n",
    "# set min and max grain size in the population\n",
    "min_size = 0\n",
    "max_size = dataset['diameters'].max()\n",
    "\n",
    "\n",
    "# get the volume fraction of a specific grain size\n",
    "stereology.calc_volume_fraction(lognorm_params=(geomean, std),\n",
    "                                total_size_range=(min_size, max_size),\n",
    "                                interest_size_range=(0, 50))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "3b2d4bec",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Volume fraction occupied by grains between 10 and 80 microns: 60.3 %\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.6030751209186476"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stereology.calc_volume_fraction(lognorm_params=(geomean, std),\n",
    "                                total_size_range=(min_size, max_size),\n",
    "                                interest_size_range=(10, 80))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "38f0bf26",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Notebook last run in 2024-06-26 using:\n",
      "Python 3.11.5 | packaged by Anaconda, Inc. | (main, Sep 11 2023, 13:16:22) [MSC v.1916 64 bit (AMD64)]\n",
      "Numpy 1.26.4\n",
      "Pandas 2.2.2\n"
     ]
    }
   ],
   "source": [
    "# annotate the date you executed the notebook and the Python version \n",
    "import sys\n",
    "from datetime import date    \n",
    "today = date.today().isoformat()\n",
    "\n",
    "print(f'Notebook last run in {today} using:')\n",
    "print('Python', sys.version)\n",
    "print('Numpy', np.__version__)\n",
    "print('Pandas', pd.__version__)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
